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Finding the Fourth Proportional to 9,292.70, 12,816.42 and 8,171.30

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Solution

The fourth proportional to 9,292.70, 12,816.42 and 8,171.30 is: 11,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.70 : 12,816.42 = 8,171.30 : x
  2. Step 2: Convert to fraction form
    9,292.70/12,816.42 = 8,171.30/x
  3. Step 3: Cross multiply
    9,292.70x = 12,816.42 × 8,171.30
  4. Step 4: Simplify right side
    9,292.70x = 104,726,812.75
  5. Step 5: Solve for x
    x = 104,726,812.75/9,292.70
  6. Step 6: Final answer
    x = 11,269.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.